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the function s(v)=3√v describes the side length, in units, of a cube with a volume of V cubic units. jason wants to build a cube with a minimum of 64 cubic centimeters

what is a reasonable range for s, the side length, in centimeters, of Jason's cube?

a. s > 0
b. s >_4
c. s >_ 8
d. s>_ 16

Answer :

choixongdong
s(v)=∛v
if v = 64 then
s(v) ∛64 = 4

answer
b. s >= 4

Answer:

Step-by-step explanation:

alright lets get started.

The side of cube is given by the function

[tex]s(v)=\sqrt[3]{v}[/tex]

If, Jason wants to build a cube with the minimum volume 64 cubic centimeters.

Plugging the value of volume in above function

[tex]s=\sqrt[3]{64}[/tex]

Taking the cubic root of 64

[tex]s=4[/tex]      :    

So, side s should be atleast or more than 4 to have the volume as 64,

[tex]s\geq4[/tex]   :   answer    option b

Hope it will help. :)

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